Finding the Third Proportional to 16,269 and 23,783

Step by Step Solution

1. Step 1: Write the proportion equation
   16,269 : 23,783 = 23,783 : x
2. Step 2: Convert to fraction form
   16,269/23,783 = 23,783/x
3. Step 3: Cross multiply
   16,269x = 23,783 × 23,783
4. Step 4: Simplify right side
   16,269x = 565,631,089
5. Step 5: Solve for x
   x = 565,631,089/16,269
6. Step 6: Final answer
   x = 34,767.42